## Description

- Overview:
- The football team's bench fell apart at the game. We need to design and build a prototype for a new bench using the properties of congruent triangles and/or parallel lines.

- Remix of:
- Football Follies - Congruent Triangles
- Subject:
- Geometry
- Level:
- Upper Primary, Middle School, High School
- Grades:
- Grade 3, Grade 4, Grade 5, Grade 6, Grade 7, Grade 8, Grade 9, Grade 10, Grade 11, Grade 12
- Material Type:
- Activity/Lab
- Author:
- STEMToolkit Administrator
- Date Added:
- 05/03/2021

- License:
- Creative Commons Attribution Non-Commercial Share Alike
- Language:
- English
- Media Format:
- Graphics/Photos, Text/HTML

## Standards

Cluster: Experiment with transformations in the plane

Standard: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

Degree of Alignment: Not Rated (0 users)

Cluster: Understand congruence in terms of rigid motions

Standard: Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

Degree of Alignment: Not Rated (0 users)

Cluster: Experiment with transformations in the plane

Standard: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Degree of Alignment: Not Rated (0 users)

Cluster: Make geometric constructions

Standard: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

Degree of Alignment: Not Rated (0 users)

Cluster: Understand congruence in terms of rigid motions

Standard: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry: Congruence

Standard: Understand congruence in terms of rigid motions

Indicator: Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry: Congruence

Standard: Make geometric constructions

Indicator: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry: Congruence

Standard: Understand congruence in terms of rigid motions

Indicator: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry: Congruence

Standard: Experiment with transformations in the plane

Indicator: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry: Congruence

Standard: Experiment with transformations in the plane

Indicator: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Recognize that requirements for a design include such factors as the desired elements and features of a product or system or the limits that are placed on the design.

Degree of Alignment: Not Rated (0 users)

# Pennsylvania Standards for Science and Technology and Engineering Education

Grade 12Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Apply the concept that many technological problems require a multi-disciplinary approach.

Degree of Alignment: Not Rated (0 users)

# Pennsylvania Standards for Science and Technology and Engineering Education

Grade 12Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Apply the concept that engineering design is influenced by personal characteristics, such as creativity, resourcefulness, and the ability to visualize and think abstractly.

Degree of Alignment: Not Rated (0 users)

# Pennsylvania Standards for Science and Technology and Engineering Education

Grade 10Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Illustrate the concept that not all problems are technological and not every problem can be solved using technology.

Degree of Alignment: Not Rated (0 users)

# Pennsylvania Standards for Science and Technology and Engineering Education

Grade 10Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Analyze a prototype and/or create a working model to test a design concept by making actual observations and necessary adjustments.

Degree of Alignment: Not Rated (0 users)

# Pennsylvania Standards for Science and Technology and Engineering Education

Grade 10Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Apply the components of the technological design process.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Show how models are used to communicate and test design ideas and processes.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Explain why the design process requires creativity and consideration of all ideas.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Recognize that all products and systems are subject to failure; many products and systems can be fixed.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Recognize design is a creative process and everyone can design solutions to problems.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Explain how the design process is a purposeful method of planning practical solutions to problems.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Analyze how a multidisciplinary (STEM) approach to problem solving will yield greater results.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Explore the design process as a collaborative endeavor in which each person in the group presents his or her ideas in an open forum.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Evaluate the criteria and constraints of a design.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Describe how troubleshooting as a problem-solving method may identify the cause of a malfunction in a technological system.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Describe how design, as a creative planning process, leads to useful products and systems.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Explain how asking questions and making observations help a person understand how things work and can be repaired.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Describe the engineering design process: Define a problem. Generate ideas. Select a solution and test it. Make the item. Evaluate the item. Communicate the solution with others. Present the results.

Degree of Alignment: Not Rated (0 users)

Science Domain: Technology and Engineering Education

Topic: Technology and Engineering Design

Standard: Understand that there is no perfect design.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry

Standard: Geometry

Indicator: Apply geometric concepts to model and solve real world problems.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry

Standard: Geometry

Indicator: Apply the concept of congruence to create geometric constructions.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry

Standard: Geometry

Indicator: Use geometric figures and their properties to represent transformations in the plane.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry

Standard: Geometry

Indicator: Analyze relationships between two-dimensional and three-dimensional objects.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry

Standard: Geometry

Indicator: Apply rigid transformations to determine and explain congruence.

Degree of Alignment: Not Rated (0 users)

## Evaluations

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# Tags (9)

- Congruent Triangles
- Engineering Design Process
- Engineering
- Math
- Innovative and Iterative Problem Solving
- Communication
- Working Collaboratively
- Critical Thinking
- Engineer Design Thinking

## Comments